11. The set {f, f2, . .., fn} where each fk is a real-valued function defined on R, is said to be linearly independent if c1, C2, . .. , Cn E R and E C fk (x) = 0 for every r ER implies C1 = c2 = ·..= Cn = 0 Suppose fr(x) = x* for all x ER and k = 1, ..., n. Then, A. the set {f1,..., fn} is linearly independent. B. each pair of these functions is linearly independent, but larger n-tuples are not. C. only the subset of odd-numbered functions and the subset of even-numbered functions are linearly independent. D. every "proper subset of this set of functions is linearly independent, but the whol

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: